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C1 help please!
OK, I am doing differentiation and edexcel seem to like to mix it in with volumes of shapes and I cant remember any of this stuff from GCSE....Any help appreciated.
The figure shows a right circular cone of base radius 2cm and height 6 cm standing on a horizontal table. A cylinder of radius x cm stands inside the cone with its axis coincident with the axis of symmetry of the cone and such that the cylinder touches the curved surface area of the cone. The volume of the cylinder is V cm^3
a) Show that V=6πx^2 - 3πx^3
So far I got that V=(6-h)πx^2 , where h is the height of the small cone on top of the cylinder but I cant prove that h is 3x????
The figure shows a right circular cone of base radius 2cm and height 6 cm standing on a horizontal table. A cylinder of radius x cm stands inside the cone with its axis coincident with the axis of symmetry of the cone and such that the cylinder touches the curved surface area of the cone. The volume of the cylinder is V cm^3
a) Show that V=6πx^2 - 3πx^3
So far I got that V=(6-h)πx^2 , where h is the height of the small cone on top of the cylinder but I cant prove that h is 3x????
Reply 1
the small cone on top is proportional to the large cone, think about similar triangles...
Reply 2
luco123
OP
*bobo*
the small cone on top is proportional to the large cone, think about similar triangles...
OMG! I cant believe I missed that.
Thanks a lot!!
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